10114257214944 has 240 divisors, whose sum is σ = 30063393104976. Its totient is φ = 3335468544000.

The previous prime is 10114257214931. The next prime is 10114257214973. The reversal of 10114257214944 is 44941275241101.

10114257214944 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 425 + 7 + 214 + 9 + 4 + 4 = 666.

10114257214944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10114257214944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356284719 + ... + 356313105.

Almost surely, 2^{10114257214944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114257214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031696552488).

10114257214944 is an abundant number, since it is smaller than the sum of its proper divisors (19949135890032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10114257214944 is a wasteful number, since it uses less digits than its factorization.

10114257214944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29871 (or 29854 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10114257214944 in words is "ten trillion, one hundred fourteen billion, two hundred fifty-seven million, two hundred fourteen thousand, nine hundred forty-four".